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Finding the Third Proportional to 21,029.63 and 46,433.25

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Solution

The third proportional to 21,029.63 and 46,433.25 is: 102,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.63 : 46,433.25 = 46,433.25 : x
  2. Step 2: Convert to fraction form
    21,029.63/46,433.25 = 46,433.25/x
  3. Step 3: Cross multiply
    21,029.63x = 46,433.25 × 46,433.25
  4. Step 4: Simplify right side
    21,029.63x = 2,156,046,705.56
  5. Step 5: Solve for x
    x = 2,156,046,705.56/21,029.63
  6. Step 6: Final answer
    x = 102,524.26

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.